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hammer [34]
3 years ago
8

Its timed hurry lad Evaluate the logarithm log8 (32)

Mathematics
2 answers:
tiny-mole [99]3 years ago
7 0
It is 5/3 !! 8^(5/3)=....32!
Nezavi [6.7K]3 years ago
4 0
log_8 (32) = log_8 (8^{ \frac{5}{3}}) = \frac{5}{3} *log_8 ~(8)=\frac{5}{3}

hope that helps
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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
What is the least common denominator for 5,6,and7?
olga nikolaevna [1]

Answer:

210

Step-by-step explanation:

5 is a prime number, 6 = 2·3 and 7 is a prime number. Since those number do not have common factors, the least common multiple will be their product:5·6·7 = 210 . Given fractions are already in order from least to greatest.

7 0
3 years ago
The formula for the perimeter of a rectangle is . What is the length of the unknown side of the rectangle below, if the perimete
Troyanec [42]

Answer:

Step-by-step explanation:

P=2l+2w

28=2l+2w

2l=2w-28

l = (2w-28)/2

l =2(w-14)/2

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7 0
3 years ago
A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

 

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

Therefore, A = x%5E2+-+2x+-+15

8 0
3 years ago
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